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Finding the Fourth Proportional to 174,705.20, 262,057.80 and 132,714.80

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Solution

The fourth proportional to 174,705.20, 262,057.80 and 132,714.80 is: 199,072.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,705.20 : 262,057.80 = 132,714.80 : x
  2. Step 2: Convert to fraction form
    174,705.20/262,057.80 = 132,714.80/x
  3. Step 3: Cross multiply
    174,705.20x = 262,057.80 × 132,714.80
  4. Step 4: Simplify right side
    174,705.20x = 34,778,948,515.44
  5. Step 5: Solve for x
    x = 34,778,948,515.44/174,705.20
  6. Step 6: Final answer
    x = 199,072.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.